Abstract

The tasks of monitoring the state of complex technical objects are solved by evaluating and comparing experimental measurements. A new discrete analogue of the Smirnov-Cramer-von Mises criterion and a new discrete analogue of the Anderson criterion are proposed. Computational experiments have been carried out confirming the hypothesis that discrete models of the probability distribution function and the proposed discrete mean square of the difference in information content do not differ from the Anderson criterion and the Smirnov-Cramer-von Mises criterion, but it is much simpler in practical applications in the verification of statistical hypotheses homogeneity of short samples of experimental measurements.

Highlights

  • Computational experiments have been carried out confirming the hypothesis that discrete models of the probability distribution function and the proposed discrete mean square of the difference in information content do not differ from the Anderson criterion and the Smirnov-Cramer-von Mises criterion, but it is much simpler in practical applications in the verification of statistical hypotheses homogeneity of short samples of experimental measurements

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Summary

Introduction

Out confirming the hypothesis that discrete models of the probability distribution function and the proposed discrete mean square of the difference in information content do not differ from the Anderson criterion and the Smirnov-Cramer-von Mises criterion, but it is much simpler in practical applications in the verification of statistical hypotheses homogeneity of short samples of experimental measurements.

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